7987616 has 72 divisors (see below), whose sum is σ = 19553184. Its totient is φ = 3144960.

The previous prime is 7987613. The next prime is 7987627. The reversal of 7987616 is 6167897.

7987616 = T₄₁₃ + T₄₁₄ + ... + T₄₉₀.

It is not an unprimeable number, because it can be changed into a prime (7987613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37751 + ... + 37961.

It is an arithmetic number, because the mean of its divisors is an integer number (271572).

Almost surely, 2^7987616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7987616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9776592).

7987616 is an abundant number, since it is smaller than the sum of its proper divisors (11565568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7987616 is a wasteful number, since it uses less digits than its factorization.

7987616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The square root of 7987616 is about 2826.2370742738. The cubic root of 7987616 is about 199.8967467030.

The spelling of 7987616 in words is "seven million, nine hundred eighty-seven thousand, six hundred sixteen".